3409983264996 has 405 divisors, whose sum is σ = 11072344986339. Its totient is φ = 884158783200.

The previous prime is 3409983264959. The next prime is 3409983265001. The reversal of 3409983264996 is 6994623899043.

The square root of 3409983264996 is 1846614.

It is a perfect power (a square), and thus also a powerful number.

3409983264996 is a `hidden beast` number, since 3 + 40 + 9 + 98 + 3 + 2 + 6 + 499 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5971949391 + ... + 5971949961.

Almost surely, 2^{3409983264996} is an apocalyptic number.

3409983264996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3409983264996 is the 1846614-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3409983264996

3409983264996 is an abundant number, since it is smaller than the sum of its proper divisors (7662361721343).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3409983264996 is an equidigital number, since it uses as much as digits as its factorization.

3409983264996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 544195584, while the sum is 72.

The spelling of 3409983264996 in words is "three trillion, four hundred nine billion, nine hundred eighty-three million, two hundred sixty-four thousand, nine hundred ninety-six".